Standard 4: PolynomialsArchived

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Perform operations on polynomials. Find factors of polynomials, learning special techniques for factoring quadratics. Understand the relationships among the solutions of polynomial equations, the zeros of a polynomial function, the x-intercepts of a graph, and the factors of a polynomial.
General Information
Number: MA.912.A.4
Title: Polynomials
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Algebra

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.912.A.4.In.a
Simplify expressions with one unknown (variable) by identifying like terms.
MA.912.A.4.In.b
Solve equations with one unknown (variable) involving addition, subtraction, and multiplication.
MA.912.A.4.In.c
Combine like and unlike terms in number sentences representing real-world situations.
MA.912.A.4.In.d
Identify factors of expressions with whole numbers by dividing.

Supported

MA.912.A.4.Su.a
Solve number sentences (equations) with one unknown involving addition and subtraction facts using physical and visual models.
MA.912.A.4.Su.b
Identify like and unlike terms in number sentences representing real-world situations.
MA.912.A.4.Su.c
Identify factors of whole numbers by using division facts.

Participatory

MA.912.A.4.Pa.a
Identify a missing item from two or more sets.
MA.912.A.4.Pa.b
Recognize that joining sets of objects results in a larger quantity and separating sets of objects results in a smaller quantity.
MA.912.A.4.Pa.c
Separate groups of objects to 10 into sets with the same quantity.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Tutorial

Multiplying Polynomials:

This resource is a step-by-step tutorial on how to multiply polynomials.

Type: Tutorial

Unit/Lesson Sequence

Variables and Patterns of Change: Translating Words Into Symbols; Linear Equations:

Lesson Plan 1: Miles of Tiles - The Pool Border Problem, students will recognize patterns and represent situations using algebraic notation and variables. Lesson Plan 2: Cups and Chips - Solving Linear Equations Using Manipulatives, students use manipulatives to represent visually the steps they take to obtain a solution to an algebraic equation. They develop an understanding of the connections between the solution involving manipulatives and the symbolic solution. Students work in teams of four. Site includes a Topic Overview, Lesson Plans, Student Work, Teaching Strategies, Resources, and a video of Workshop 1; Part 1.

Type: Unit/Lesson Sequence

Video/Audio/Animation

Teach Me How to Factor:

This video features a contrafactum of a popular rap song to teach students how to factor.

Type: Video/Audio/Animation

Virtual Manipulative

Curve Fitting:

With a mouse, students will drag data points (with their error bars) and watch the best-fit polynomial curve form instantly. Students can choose the type of fit: linear, quadratic, cubic, or quartic. Best fit or adjustable fit can be displayed.

Type: Virtual Manipulative

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Virtual Manipulative

Curve Fitting:

With a mouse, students will drag data points (with their error bars) and watch the best-fit polynomial curve form instantly. Students can choose the type of fit: linear, quadratic, cubic, or quartic. Best fit or adjustable fit can be displayed.

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Tutorial

Multiplying Polynomials:

This resource is a step-by-step tutorial on how to multiply polynomials.

Type: Tutorial